10557972 has 48 divisors (see below), whose sum is σ = 28324800. Its totient is φ = 3396960.

The previous prime is 10557959. The next prime is 10557979. The reversal of 10557972 is 27975501.

10557972 is a `hidden beast` number, since 10 + 5 + 579 + 72 = 666.

It is a super-2 number, since 2×10557972² = 222941545505568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1447 + ... + 4817.

It is an arithmetic number, because the mean of its divisors is an integer number (590100).

Almost surely, 2^10557972 is an apocalyptic number.

10557972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10557972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14162400).

10557972 is an abundant number, since it is smaller than the sum of its proper divisors (17766828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10557972 is a wasteful number, since it uses less digits than its factorization.

10557972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 10557972 is about 3249.3033099420. The cubic root of 10557972 is about 219.3782167693.

The spelling of 10557972 in words is "ten million, five hundred fifty-seven thousand, nine hundred seventy-two".